12/3=4
so m=4
6x4=24
6x1=6
24-6=18
Step-by-step explanation:
Where is the image of the spinner shown?
Well take the bottom and in this case its 18 and 30 so 18 x 30 = 540 then you do the two 15's times 30 and thats 450 times the 2 is 900 so 540+900+216 = so thats 1656 m 2 :)))))))))))
Answer:
Answer is ...Obtuse
Step-by-step explanation:
![\frac{m](https://tex.z-dn.net/?f=%20%5Cfrac%7Bm%3CABC%7D%7B2%7D%20%20%3D%20m%3C%20CBD)
![\frac{5x + 4}{2} = \frac{3}{2} x + 21](https://tex.z-dn.net/?f=%20%5Cfrac%7B5x%20%2B%204%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%2021)
![\frac{5x + 4}{2} = \frac{3x + 42}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5x%20%2B%204%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B3x%20%2B%2042%7D%7B2%7D%20)
![5x + 4 = 3x + 42](https://tex.z-dn.net/?f=5x%20%2B%204%20%3D%203x%20%2B%2042)
![5x - 3x = 42 - 4](https://tex.z-dn.net/?f=5x%20-%20%203x%20%3D%2042%20-%204)
![2x = 38](https://tex.z-dn.net/?f=2x%20%3D%2038)
![x = 19](https://tex.z-dn.net/?f=x%20%3D%2019)
![substituting \: x = 19 \: \:in \: \: \: \: \: \: \: \\ m](https://tex.z-dn.net/?f=substituting%20%5C%3A%20x%20%3D%2019%20%20%5C%3A%20%5C%3Ain%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5C%5C%20m%3CABC%20%3D%5C%3A%20%20%20%5C%3A%205x%20%2B%204%2C%20)
We get,
m<ABC =
![(5 \times 19) + 4 = 99](https://tex.z-dn.net/?f=%285%20%5Ctimes%2019%29%20%2B%204%20%3D%2099)
Hence <ABC is obtuse
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.